{
  "_id": "6a269c5624555f66ed51f818",
  "Package": "gps",
  "Version": "1.2",
  "Date": "2023-11-02",
  "Title": "General P-Splines",
  "Authors@R": "person(\"Zheyuan\", \"Li\", role = c(\"aut\", \"cre\"),\nemail = \"zheyuan.li@bath.edu\",\ncomment = c(ORCID = \"0000-0002-7434-5947\"))",
  "Author": "Zheyuan Li [aut, cre] (<https://orcid.org/0000-0002-7434-5947>)",
  "Maintainer": "Zheyuan Li <zheyuan.li@bath.edu>",
  "Description": "General P-splines are non-uniform B-splines penalized by a\ngeneral difference penalty, proposed by Li and Cao (2022)\n<arXiv:2201.06808>. Constructible on arbitrary knots, they\nextend the standard P-splines of Eilers and Marx (1996)\n<doi:10.1214/ss/1038425655>. They are also related to the\nO-splines of O'Sullivan (1986) <doi:10.1214/ss/1177013525> via\na sandwich formula that links a general difference penalty to a\nderivative penalty. The package includes routines for setting\nup and handling difference and derivative penalties. It also\nfits P-splines and O-splines to (x, y) data (optionally\nweighted) for a grid of smoothing parameter values in the\nautomatic search intervals of Li and Cao (2023)\n<doi:10.1007/s11222-022-10178-z>. It aims to facilitate other\npackages to implement P-splines or O-splines as a smoothing\ntool in their model estimation framework.",
  "License": "GPL-3",
  "NeedsCompilation": "yes",
  "URL": "https://github.com/ZheyuanLi/gps",
  "Packaged": {
    "Date": "2026-06-08 10:38:15 UTC",
    "User": "root"
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  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2023-11-02 08:31:01 UTC",
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    "author": "Zheyuan Li <zheyuan.li@bath.edu>",
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    "message": "version 1.2\n",
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    "extra/citation.json",
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      "date": "2022-01-27"
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      "date": "2023-04-30"
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    "DemoKnots",
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    "DiffCoef",
    "gps2GS",
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    "MPinv",
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    "PriorCoef",
    "rspl",
    "SparseD",
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    {
      "page": "DemoBS",
      "title": "Demonstrate the construction of ordinary B-splines",
      "topics": [
        "DemoBS"
      ]
    },
    {
      "page": "DemoKnots",
      "title": "Demonstrate ordinary cubic B-splines on three types of knots",
      "topics": [
        "DemoKnots"
      ]
    },
    {
      "page": "DemoNull",
      "title": "Demonstrate the null space of P-splines",
      "topics": [
        "DemoNull"
      ]
    },
    {
      "page": "DemoPBS",
      "title": "Demonstrate the construction of periodic B-splines",
      "topics": [
        "DemoPBS"
      ]
    },
    {
      "page": "DemoSpl",
      "title": "Demonstrate a polynomial spline and its B-spline representation",
      "topics": [
        "DemoSpl"
      ]
    },
    {
      "page": "gps2GS",
      "title": "Penalized B-splines estimation with automatic grid search of their smoothing parameter",
      "topics": [
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        "gps2GS"
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    },
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      "page": "GramBS",
      "title": "Gram matrix of B-splines",
      "topics": [
        "GramBS"
      ]
    },
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      "page": "MakeGrid",
      "title": "Make a grid of x-values between domain knots",
      "topics": [
        "MakeGrid"
      ]
    },
    {
      "page": "penalty",
      "title": "Wiggliness penalties for penalized B-splines",
      "topics": [
        "MPinv",
        "penalties",
        "penalty",
        "PriorCoef",
        "SparseD"
      ]
    },
    {
      "page": "penutils",
      "title": "Utility functions for working with wiggliness penalties",
      "topics": [
        "btSb",
        "DiffCoef",
        "penalty.utilities",
        "penalty.utils",
        "penutils"
      ]
    },
    {
      "page": "periodic",
      "title": "Design matrix and general difference matrices for periodic B-splines",
      "topics": [
        "pbsDesign",
        "periodic",
        "SparsePD"
      ]
    },
    {
      "page": "PlaceKnots",
      "title": "Automatically place knots according to data",
      "topics": [
        "PlaceKnots"
      ]
    },
    {
      "page": "rspl",
      "title": "Simulate random cubic splines",
      "topics": [
        "random.splines",
        "rspl"
      ]
    }
  ],
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    "Matrix"
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